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Finding the Fourth Proportional to 19,681.20, 29,501.29 and 8,584.91

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Solution

The fourth proportional to 19,681.20, 29,501.29 and 8,584.91 is: 12,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.20 : 29,501.29 = 8,584.91 : x
  2. Step 2: Convert to fraction form
    19,681.20/29,501.29 = 8,584.91/x
  3. Step 3: Cross multiply
    19,681.20x = 29,501.29 × 8,584.91
  4. Step 4: Simplify right side
    19,681.20x = 253,265,919.53
  5. Step 5: Solve for x
    x = 253,265,919.53/19,681.20
  6. Step 6: Final answer
    x = 12,868.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.